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145205551040 = 2651143959339
BaseRepresentation
bin1000011100111011101…
…1001101111111000000
3111212210121212021022212
42013032323031333000
54334340110113130
6150412334521252
713330220550644
oct2071673157700
9455717767285
10145205551040
1156643825740
1224185066228
131090119c704
147056b18c24
153b9cc2be95
hex21ceecdfc0

145205551040 has 112 divisors (see below), whose sum is σ = 385977018240. Its totient is φ = 51574010880.

The previous prime is 145205550977. The next prime is 145205551063. The reversal of 145205551040 is 40155502541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 145205550988 and 145205551006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328310 + ... + 631029.

Almost surely, 2145205551040 is an apocalyptic number.

145205551040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145205551040 is an abundant number, since it is smaller than the sum of its proper divisors (240771467200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145205551040 is a wasteful number, since it uses less digits than its factorization.

145205551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959410 (or 959400 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 145205551040 in words is "one hundred forty-five billion, two hundred five million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 215 220 320 344 352 430 440 473 688 704 860 880 946 1376 1720 1760 1892 2365 2752 3440 3520 3784 4730 6880 7568 9460 13760 15136 18920 30272 37840 75680 151360 959339 1918678 3837356 4796695 7674712 9593390 10552729 15349424 19186780 21105458 30698848 38373560 41251577 42210916 52763645 61397696 76747120 82503154 84421832 105527290 153494240 165006308 168843664 206257885 211054580 306988480 330012616 337687328 412515770 422109160 453767347 660025232 675374656 825031540 844218320 907534694 1320050464 1650063080 1688436640 1815069388 2268836735 2640100928 3300126160 3376873280 3630138776 4537673470 6600252320 7260277552 9075346940 13200504640 14520555104 18150693880 29041110208 36301387760 72602775520 145205551040